Global existence for the nonlinear fractional Schrödinger equation with fractional dissipation

Abstract

We consider the initial value problem for the fractional nonlinear Schrödinger equation with a fractional dissipation. Global existence and scattering are proved depending on the order of the fractional dissipation.

References in corpus (3)

• Well-posedness of the Cauchy problem for the fractional power dissipative equations
• Profile decompositions and Blowup phenomena of mass critical fractional Schrödinger equations
• On the energy-critical fractional Schödinger equation in the radial case